AP Unit 4: Contextual Applications of Differentiation

Find these readings by topic

This earlier reading list remains available with its complete tasks. The current book places these resources in the following topic chapters:

• Limits and continuity →

  Connect approaching values across representations and justify continuity, asymptotes, and intermediate outputs.

• Derivatives as rates of change →

  Explain and estimate an instantaneous rate, decide when it exists, and interpret its signed units.

• Differentiation tools →

  Choose derivative rules for explicit, composite, inverse, and implicit functions while respecting domains.

• Graph shape and local approximation →

  Use derivative evidence and theorem hypotheses to explain extrema, concavity, graphs, and nearby estimates.

• Modeling with derivatives →

  Build motion, related-rate, and optimization models with meaningful variables, feasible domains, and justified conclusions.